{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Week 4\n",
    "\n",
    "**`Market-Simulation::baseline-models`**\n",
    "* **`AAFT`**: amplitude adjusted fourier transform baseline model\n",
    "* **`VAR`**: vector autoregressive baseline model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Users/alpha/Developer/qtrader\n"
     ]
    }
   ],
   "source": [
    "# change current working directory\n",
    "%cd .."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "# suppress warning messages\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "# data provider\n",
    "from qtrader.envs.data_loader import Finance\n",
    "# pandas.DataFrame cleaner\n",
    "from qtrader.utils.pandas import clean\n",
    "\n",
    "# YAML parser\n",
    "import yaml\n",
    "\n",
    "# scientific programming\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from statsmodels.tsa.api import VAR as _VAR\n",
    "import statsmodels.tsa.vector_ar.util as var_util\n",
    "\n",
    "# visualization\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "start date: 2015-01-01\n",
      "trading frequency: W-FRI\n",
      "trading universe: ['AAPL', 'GE', 'JPM', 'MSFT', 'VOD', 'GS', 'TSLA', 'MMM']\n"
     ]
    }
   ],
   "source": [
    "# fetch configuration file\n",
    "config = yaml.load(open('config/log/week_4.yaml', 'r'))\n",
    "\n",
    "# configuration summary\n",
    "print(f\"start date: {config['start_date']}\")\n",
    "print(f\"trading frequency: {config['freq']}\")\n",
    "print(f\"trading universe: {config['tickers']}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "### Data Source\n",
    "\n",
    "Fetch prices, simple-relative returns and log-returns."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "# prices\n",
    "prices = clean(Finance.Prices(config['tickers'],\n",
    "                              config['start_date'],\n",
    "                              freq=config['freq'],\n",
    "                              csv=config['csv_file_prices']))\n",
    "\n",
    "\n",
    "# returns\n",
    "returns = clean(Finance.Returns(config['tickers'],\n",
    "                                config['start_date'],\n",
    "                                freq=config['freq'],\n",
    "                                csv=config['csv_file_returns']))\n",
    "\n",
    "# log-returns\n",
    "rhos = np.log(1 + returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Market Simulation: Baseline Models\n",
    "\n",
    "Computationally easy models used as a baseline for state-of-the-art generative models."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### Surrogates: Amplitude Adjusted Fourier Transform (AAFT)\n",
    "\n",
    "Preserve first and second order statistical moments by:\n",
    "\n",
    "1. Fourier Transformation of multivariate time-series\n",
    "2. Randomisation of Phase\n",
    "3. Inverse Fourier Transaformation\n",
    "\n",
    "The identity of the autocorrelation functions is based on the fact that the original time series and the surrogate\n",
    "have per construction the same power spectrum, which in turn is linked to the autocorrelation function via the\n",
    "[Wiener–Khinchin theorem](https://en.wikipedia.org/wiki/Wiener%E2%80%93Khinchin_theorem)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def AAFT(df, random=np.random.uniform, random_state=None):\n",
    "    \"\"\"Amplitude Adjusted Fourier Transform Baseline Generator.\"\"\"\n",
    "    # set random seed\n",
    "    np.random.seed(random_state)\n",
    "    # Operate on numpy.ndarray\n",
    "    ts = df.values\n",
    "    # 2d time-series format\n",
    "    _ts = ts.reshape(len(ts), -1)\n",
    "    # Odd number of samples\n",
    "    if len(_ts) % 2 != 0:\n",
    "        _ts = _ts[1:, :]\n",
    "    # Generated time-series\n",
    "    ts_gen = np.empty_like(_ts)\n",
    "    for i, tsi in enumerate(_ts.T):\n",
    "        # Fourier Transaformation (real-valued signal)\n",
    "        F_tsi = np.fft.rfft(tsi)\n",
    "        # Randomization of Phase\n",
    "        rv_phase = np.exp(random(0, np.pi, len(F_tsi)) * 1.0j)\n",
    "        # Generation of new time-series\n",
    "        F_tsi_new = F_tsi * rv_phase\n",
    "        # Inverse Fourier Transformation\n",
    "        ts_gen[:, i] = np.fft.irfft(F_tsi_new)\n",
    "    # Create pandas DataFrame\n",
    "    df_gen = pd.DataFrame(ts_gen, columns=df.columns,\n",
    "                          index=df.index[-len(ts_gen):])\n",
    "    return df_gen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "# prices time-series generation\n",
    "prices_gen = AAFT(prices, random=np.random.normal, random_state=13)\n",
    "\n",
    "# returns time-series generation\n",
    "returns_gen = AAFT(returns, random=np.random.normal, random_state=13)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1440x432 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# time-series plots\n",
    "fig, axes = plt.subplots(nrows=2, ncols=int(prices.shape[1] / 2), figsize=(20.0, 6.0))\n",
    "for j, (ax, ticker) in enumerate(zip(axes.flatten(), prices.columns)):\n",
    "    prices[ticker].plot(ax=ax, label=\"Original\")\n",
    "    prices_gen[ticker].plot(ax=ax, label=\"AAFT\")\n",
    "    ax.set(title=ticker, xticks=[], yticks=[])\n",
    "    ax.axis('off')\n",
    "    ax.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# statistical tests: covariances\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(18.0, 6.0))\n",
    "sns.heatmap(prices.cov(), ax=axes[0])\n",
    "axes[0].set_title(\"Original\")\n",
    "sns.heatmap(prices_gen.cov(), ax=axes[1])\n",
    "axes[1].set_title(\"AAFT\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x432 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# time-series plots\n",
    "fig, axes = plt.subplots(nrows=2, ncols=int(returns.shape[1] / 2), figsize=(20.0, 6.0))\n",
    "for j, (ax, ticker) in enumerate(zip(axes.flatten(), returns.columns)):\n",
    "    returns[ticker].plot(ax=ax, label=\"Original\")\n",
    "    returns_gen[ticker].plot(ax=ax, label=\"AAFT\")\n",
    "    ax.set(title=ticker, xticks=[], yticks=[])\n",
    "    ax.axis('off')\n",
    "    ax.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# statistical tests: covariances\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(18.0, 6.0))\n",
    "sns.heatmap(returns.cov(), ax=axes[0])\n",
    "axes[0].set_title(\"Original\")\n",
    "sns.heatmap(returns_gen.cov(), ax=axes[1])\n",
    "axes[1].set_title(\"AAFT\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Vector Autoregressive Process (VAR)\n",
    "\n",
    "We are interested in modeling a $T \\times K$ multivariate time series $Y$,\n",
    "where $T$ denotes the number of observations and $K$ the number of variables.\n",
    "One way of estimating relationships between the time series and their lagged values is\n",
    "the **Vector Autoregression (VAR) Process**:\n",
    "\n",
    "\\begin{aligned}\n",
    "    Y_{t}   &= A_{1} Y_{t-1} + A_{2} + Y_{t-2} + \\ldots + A_{p} + Y_{t-p} + u_{t}\\\\\n",
    "            &= \\sum_{i=1}^{p} A_{i} Y_{t-i} + u_{t}\\\\\n",
    "            & u_{t} \\sim \\text{Normal}(0, \\Sigma_{u})\n",
    "\\end{aligned}\n",
    "\n",
    "where $A_{i} \\in R^{K \\times K}$ a coefficient matrix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def VAR(df, max_order=15):\n",
    "    \"\"\"Vector Autoregressive Baseline Generator.\"\"\"\n",
    "    # VAR model\n",
    "    if isinstance(df, pd.DataFrame):\n",
    "        var = _VAR(df.values)\n",
    "    elif isinstance(df, np.ndarray):\n",
    "        var = _VAR(df)\n",
    "    # fit model\n",
    "    model = var.fit(maxlags=max_order, ic='aic')\n",
    "    # simulation\n",
    "    ts_gen = var_util.varsim(model.coefs, model.intercept,\n",
    "                             model.sigma_u, steps=len(df.values))\n",
    "    # Create pandas DataFrame\n",
    "    df_gen = pd.DataFrame(ts_gen, columns=df.columns,\n",
    "                          index=df.index[-len(ts_gen):])\n",
    "    return df_gen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "# returns time-series generation\n",
    "returns_gen = VAR(returns, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x432 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# time-series plots\n",
    "fig, axes = plt.subplots(nrows=2, ncols=int(returns.shape[1] / 2), figsize=(20.0, 6.0))\n",
    "for j, (ax, ticker) in enumerate(zip(axes.flatten(), returns.columns)):\n",
    "    returns[ticker].plot(ax=ax, label=\"Original\")\n",
    "    returns_gen[ticker].plot(ax=ax, label=\"VAR\")\n",
    "    ax.set(title=ticker, xticks=[], yticks=[])\n",
    "    ax.axis('off')\n",
    "    ax.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# statistical tests: covariances\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(18.0, 6.0))\n",
    "sns.heatmap(returns.cov(), ax=axes[0])\n",
    "axes[0].set_title(\"Original\")\n",
    "sns.heatmap(returns_gen.cov(), ax=axes[1])\n",
    "axes[1].set_title(\"AAFT\");"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "qtrader",
   "language": "python",
   "name": "qtrader"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
